Search a number
-
+
4109456544 = 253151283489
BaseRepresentation
bin1111010011110001…
…0101010010100000
3101121101200000121020
43310330111102200
531404010102134
61515435525440
7203556542604
oct36474252240
911541600536
104109456544
111819754586
129682b9880
135064c65bb
142adac7504
15190b96b49
hexf4f154a0

4109456544 has 48 divisors (see below), whose sum is σ = 10858800960. Its totient is φ = 1360742400.

The previous prime is 4109456543. The next prime is 4109456569. The reversal of 4109456544 is 4456549014.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4109456496 and 4109456505.

It is not an unprimeable number, because it can be changed into a prime (4109456543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127249 + ... + 156240.

It is an arithmetic number, because the mean of its divisors is an integer number (226225020).

Almost surely, 24109456544 is an apocalyptic number.

It is an amenable number.

4109456544 is an abundant number, since it is smaller than the sum of its proper divisors (6749344416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4109456544 is a wasteful number, since it uses less digits than its factorization.

4109456544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283653 (or 283645 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 4109456544 is about 64105.0430465498. The cubic root of 4109456544 is about 1601.7502388835.

The spelling of 4109456544 in words is "four billion, one hundred nine million, four hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 14496 283489 566978 850467 1133956 1700934 2267912 3401868 4535824 6803736 9071648 13607472 27214944 42806839 85613678 128420517 171227356 256841034 342454712 513682068 684909424 1027364136 1369818848 2054728272 4109456544